Is Rayo's Number the Largest Finite Number?

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Discussion Overview

The discussion revolves around the concept of Rayo's number and its status as potentially the largest finite number. Participants explore various perspectives on large numbers, including Graham's number and the implications of defining and comparing such quantities.

Discussion Character

  • Debate/contested
  • Exploratory
  • Conceptual clarification

Main Points Raised

  • Some participants reference the mathematical expression 1/(1-0.999...) to discuss the nature of numbers and infinity.
  • Graham's number is highlighted by several participants as a significant large number, noted for its size and the fact that it cannot be fully expressed within the observable universe.
  • One participant challenges the validity of using 1/(1-0.999...) by arguing that it leads to division by zero, suggesting that infinity is not a valid number in this context.
  • A humorous anecdote about philosophers betting on larger numbers is shared, illustrating the subjective nature of defining "larger" in a playful manner.
  • There is a mention of a video explanation by Ronald Graham regarding large numbers, indicating interest in the conceptual origins of such numbers.
  • Another participant humorously claims to have a number higher than any proposed by others, using helium to emphasize the lightness of their claim.
  • Rayo's number is explicitly questioned as potentially being the largest, inviting further exploration of its definition and comparison to other large numbers.

Areas of Agreement / Disagreement

Participants express differing views on the validity and implications of various large numbers, with no consensus reached on whether Rayo's number is indeed the largest finite number. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Some arguments rely on the definitions of numbers and the nature of infinity, which may not be universally agreed upon. The discussion includes playful and serious contributions, reflecting a range of interpretations and assumptions about large numbers.

donglepuss
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i'll start:

1/(1-0.999...)
 
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Norton Juster and Jules Feiffer suggest this:

1661550568242.png

fresh_42 said:
I'll skip to the end: Ben Gurion!
http://www.ephraimkishon.de/en/my_favorite_stories.htm
 
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donglepuss said:
i'll start:

1/(1-0.999...)
1/(1-0.999...) +1

The problem is that it is s trivial game if all you have to do is make up a number.

That's why I'm a fan of Grahams Number, which was (for a time) the largest number ever used in a math paper.

Its so large that it cannot be written out in the volume of the observable universe. In fact, the number that represents the number of digits in Grahams number is so large, it cannot be written out in the volume of the known universe.
 
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donglepuss said:
i'll start:

1/(1-0.999...)
Bogus, since 9-bar is exactly 1 so you are dividing by zero. Why not just say infinity, since that's what you wrote?

EDIT: also, infinity is not a number, so you have violated your own rules of the question.
 
Last edited:
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I'm sure Dr. Seuss could tell you. (I don't recall the name of the book, sorry!)

-Dan
 
14

1661551864954.png
 
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donglepuss said:
i'll start:

1/(1-0.999...)
Two philosophers getting drunk in a bar and one asks the other.
"i bet you half a crown that I can think of a bigger number than you."
The other guy thought for a minute and said.
"Ok you're on."
First philosopher thought hard for about 5 minutes in silence then blurted out in triumph.
"Two!"
The second guy thought for a while and said.
"Ok you win."
 
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DaveC426913 said:
1/(1-0.999...) +1

The problem is that it is s trivial game if all you have to do is make up a number.

That's why I'm a fan of Grahams Number, which was (for a time) the largest number ever used in a math paper.

Its so large that it cannot be written out in the volume of the observable universe. In fact, the number that represents the number of digits in Grahams number is so large, it cannot be written out in the volume of the known universe.
Here is the man himself explaining where it came from.
Tree3 on numberphile is also interesting

EDIT: It would help if I posted the link. He died July 2020, I missed that. RIP Ronald Graham.
 
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  • #10
<inhales lung full of helium> ##{}^\mathrm{Two!}##

There, bet that's higher than any of you can manage.
 
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  • #11
donglepuss said:
i'll start:

1/(1-0.999...)
Is this the biggest? Rayo's number?

 

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